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The Erdős problem for hexagons - MaRDI portal

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The Erdős problem for hexagons (Q2730637)

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scientific article; zbMATH DE number 1631461
Language Label Description Also known as
English
The Erdős problem for hexagons
scientific article; zbMATH DE number 1631461

    Statements

    author
    V. V. Plakhotnyk
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    N. V. Kovalska
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    publication date
    8 August 2001
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    zbMATH Keywords
    hexagons
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    extremal polygon
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    Erdős
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    title
    The Erdős problem for hexagons (English)
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    review text
    A geometrical extremum problem proposed by Erdős is considered. The authors study the particular case of this problem for hexagons: find convex hexagons with extremal ratio of the greatest distance to the least distance between vertices. It is found that the extremal ratio is equal to \(\sqrt{2+\sqrt 3}\). The form of the convex hexagon is found.
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    Identifiers

    zbMATH DE Number
    1631461
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